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affine transformation in a sentence


1) Non-rigid transformations include affine transformations such as scaling and shear mapping.

affine collocations
2) For more information, consult the Wikipedia article on affine transformations .

3) Apply parametric affine transformations to a profile curve.



affine transformation example sentences

4) Another way to represent coordinate transformations in Cartesian coordinates is through affine transformations .

5) These identifications are always given by affine transformations from one tangent plane to another.

6) Each IFS consists of affine transformations involving rotations, scalings, and translations.

7) A scaling in the most general sense is any affine transformation with a diagonalizable matrix.

8) Lorentz transformations are examples of linear transformations; general isometries of Minkowski spacetime are affine transformations .

9) An example of an affine transformation which is not a Euclidean motion is given by scaling.

10) Homogeneous transforms represent affine transformations .

11) It is not classified as a linear transformation, but is instead known as an affine transformation .

12) Using affine transformations multiple different euclidean transformations including translation can be combined by simply multiplying the corresponding matrices.

13) This motivates restricting one's attention to the group "SA"2 of area-preserving affine transformations .

14) We thus consider a point __FORMULA__ and the transformed point __FORMULA__, where A is an affine transformation .

15) The goal of the affine invariant detector is to identify regions in images that are related through affine transformations .



example sentences with affine transformation

16) Unlike in the three-dimensional case, we can equivalently restrict the affine transformations to those that preserve orientation.

17) It does, however, represent only those properties of an object that are preserved under an affine transformation .

18) The Harris affine detector can identify similar regions between images that are related through affine transformations and have different illuminations.

19) This is a discrete cocompact group of affine transformations of space, but does not contain a subgroup Z3.

20) In order to be invariant to arbitrary affine transformations (and viewpoints), the mathematical framework must be revisited.

21) Volume 1 chapter VI gives an account of affine transformations , torsion, and the general theory of affine geodesy.

22) In affine transformations an extra dimension is added and all points are given a value of 1 for this extra dimension.

23) As the camera, or affine frame, moves the changes in the projection process can be approximated by affine transformations .

24) SIFT and SIFT-like GLOH features exhibit the highest matching accuracies (recall rates) for an affine transformation of 50 degrees.

25) He also found a form of the paradox in the plane which uses area-preserving affine transformations in place of the usual congruences.

26) That is, __FORMULA__ and __FORMULA__ are measurements of "A" and "X" unique up to affine transformation (i.e. each is an interval scale in Stevens' (1946) parlance).

27) More examples include: orientation preserving maps of R"n", symplectomorphisms, Möbius transformations, affine transformations , and so on.

28) By means of an affine transformation of __FORMULA__, we may assume without loss of generality that ρ(0)=0.



How to use affine transformation in a sentence



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